This graph is the bipartite double of the coset graph of the truncated binary Golay code.
| Number of vertices: | $2048$ |
| Diameter: | $7$ |
| Intersection array: | $\{22,21,20,16,6,2,1;1,2,6,16,20,21,22\}$ |
| Spectrum: | $22^1 10^{77} 6^{330} 2^{616} (-2)^{616} (-6)^{330} (-10)^{77} (-22)^1$ |
| Automorphism group: | $(2^{10}.\mathrm{M}_{22}.2) \times 2$ |
| Distance-transitive: | Yes |
| Bipartite, Antipodal |